Final answer:
The period of the function y = -1/2 tan x is 2π radians. The graph of this function will have an oscillating pattern.
Step-by-step explanation:
The given function is y = -1/2 tan x. To find the period, we need to determine the value of the period coefficient, which is the coefficient of x in the argument of the tangent function. In this case, the period coefficient is 1.
The period of the function y = -1/2 tan x is given by the formula:
Period = 2π / Period coefficient
Substituting the value of the period coefficient (1) into the formula, we get:
Period = 2π / 1 = 2π radians
The graph of the function y = -1/2 tan x can be plotted by selecting values of x and computing the corresponding values of y using the given formula. The graph will have an oscillating pattern, with the values of y alternating between positive and negative values as x increases.